Normal Forms for Coupled Takens-Bogdanov Systems
| dc.contributor.author | Malonza, D. M. | |
| dc.date.accessioned | 2014-08-01T12:15:45Z | |
| dc.date.available | 2014-08-01T12:15:45Z | |
| dc.date.issued | 2004 | |
| dc.description | DOI: 10.2991/jnmp.2004.11.3.8 | en_US |
| dc.description.abstract | The set of systems of differential equations that are in normal form with respect to a particular linear part has the structure of a module of equivariants, and is best described by giving a Stanley decomposition of that module. In this paper Groebner basis methods are used to determine a Groebner basis for the ideal of relations and a Stanley decomposition for the ring of invariants that arise in normal forms for Takens-Bogdanov systems. An algorithm developed by Murdock, is then used to produce a Stanley decomposition for the (normal form module) module of the equivariants from the Stanley decomposition for the ring of invariants. | en_US |
| dc.identifier.citation | Journal of Nonlinear Mathematical Physics Volume 11, Issue 3, 2004 | en_US |
| dc.identifier.issn | 1402-9251 | |
| dc.identifier.uri | http://www.tandfonline.com/doi/pdf/10.2991/jnmp.2004.11.3.8 | |
| dc.identifier.uri | http://ir-library.ku.ac.ke/handle/123456789/10836 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.title | Normal Forms for Coupled Takens-Bogdanov Systems | en_US |
| dc.type | Article | en_US |
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